5 problems

Take the $\{3,5,3\}$ honeycomb in $\operatorname{\mathbb{H}}^3$ and cut it along a horosphere. Consider the union of all icosahedra interior to, or intersecting, the horosphere; th…

Consider the sea grafting (g) shown in Figure of the paper. A bi-infinite fully leafed caterpillar is a fully leafed caterpillar that extends infinitely in both directions. Extenda…

Let the $3,5,3 honeycomb be a tessellation of$operatorname{mathbb{H}}^3…

Let $C$ be a Penrose caterpillar, let $S$ be the graded poset of caterpillars used in the source, and let $f_{boat}$ transform a Penrose caterpillar by replacing each relevant subp…

Let $T$ be a fully leafed Penrose subtree. A Penrose tree is saturated if $n_{1}(T)=\overline{L_{P2}}(n(T))$, where $\overline{L_{P2}}(n)=8n/17+b$ is the unique linear upper bound…